Solve sqrt{33(33-11)(33-25)}(33-30

$$\sqrt { 33 ( 33 - 11 ) ( 33 - 25 ) } ( 33 - 30$$

Evaluate

$$132\sqrt{3}\approx 228.630706599$$

Solution Steps

Subtract 11 from 33 to get 22.

$$\sqrt{33\times 22\left(33-25\right)}\left(33-30\right)$$

Multiply 33 and 22 to get 726.

$$\sqrt{726\left(33-25\right)}\left(33-30\right)$$

Subtract 25 from 33 to get 8.

$$\sqrt{726\times 8}\left(33-30\right)$$

Multiply 726 and 8 to get 5808.

$$\sqrt{5808}\left(33-30\right)$$

Factor 5808=44^{2}\times 3. Rewrite the square root of the product \sqrt{44^{2}\times 3} as the product of square roots \sqrt{44^{2}}\sqrt{3}. Take the square root of 44^{2}.

$$44\sqrt{3}\left(33-30\right)$$

Subtract 30 from 33 to get 3.

$$44\sqrt{3}\times 3$$

Multiply 44 and 3 to get 132.

$$132\sqrt{3}$$